In Greek the phrase “para” means side. “Bole” is a throw. Parabole in Greek is “placing side by side, application”. It evolved into “Parabola” in the late 16th century.
Parabola is defined as: a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.
In modern science it is commonly described that a projectile under the influence of gravity follows the path of a parabola. Any point on a Parabola is at an equal distance from a fixed point and a fixed straight line. The fixed point is the Focus and the fixed straight line is the Directrix.
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A square wheel can roll smoothly only if the ground consists of evenly shaped inverted catenaries of the right size and curvature from educationalgifs
Parabol/Parabola from ToolBand